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A numerical method for nonlinear fractional-order differential equations with constant or time-varying delay is devised. The order here is an arbitrary positive real number, and the differential operator is with the Caputo definition. The general Adams-Bashforth-Moulton method combined with the linear interpolation method is employed to approximate the(More)
In this paper, we propose a new multi-classification algorithm based on the non-parallel plane support vector machine (SVM). In the approach, data points of each class are proximal to one of nonparallel planes, and at the same time, are far from the other categories to certain extent. This leads to solve convex quadratic optimization problems which the(More)
A convergence analysis of the inexact Rayleigh quotient iteration and simplified Jacobi-Davidson method for the large Hermitian matrix eigen-problem. Abstract The inexact Rayleigh quotient iteration (RQI) is used for computing the smallest eigenpair of a large Hermitian matrix. Under certain condition, the method was proved to converge quadratically in(More)
In this paper, we present a new tire impressions image segmentation algorithm based on C-V model without re-initialization by introducing an internal energy term that penalizes the deviation of the level set function from a signed distance function into the C-V model. The proposed model can keep the approximately the level set function as a signed distance(More)
To improve utilization rate of tire-imprints, a Wavelet-based algorithm for the tire-imprints image enhancement is proposed on the basis of wavelet’s theory in this paper. First, the high frequency (HF) coefficients are distinguished due to signal from those due to noise with the correlation between wavelet levels, then, increases the wavelet(More)
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